25 citations · 96 across the 18 of their papers we have counts for
19 papers
Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. II. Dynamics
Jerry Bona, Angel Duran, Dimitrios Mitsotakis
Considered here are two systems of equations modeling the two-way propagation of long-crested, long-wavelength internal waves along the interface of a two-layer system of fluids in…
Notes on numerical analysis and solitary wave solutions of Boussinesq/Boussinesq systems for internal waves
V. A. Dougalis, A. Duran, L. Saridaki
In this paper a three-parameter family of Boussinesq systems is studied. The systems have been proposed as models of the propagation of long internal waves along the interface of a…
An asymptotic model for internal capillary-gravity waves in deep water
A. Durán
Considered in this paper is a bi-directional model for the propagation of interfacial capillary-gravity waves in a two-layer system of fluids with rigid lid condition for the upper…
On a model for internal waves in rotating fluids
A. Durán
In this paper a rotating two-fluid model for the propagation of internal waves is introduced. The model can be derived from a rotating-fluid problem by including gravity effects or…
On nonparaxial nonlinear Schrödinger-type equations
B. Cano, A. Durán
In this paper the one-dimensional nonparaxial nonlinear Schrödinger equation is considered. This was proposed as an alternative to the classical nonlinear Schrödinger equation in t…
Semidiscrete approximation to Benjamin-type equations
Vassilios A. Dougalis, Angel Duran
In this paper a semidiscrete Fourier pseudospectral method for approximating Benjamin-type equations is introduced and analyzed. A study of convergence is presented.